Hard SAT Math Problems- Data Analysis and Probability

Check out these hard SAT math problems! Contact Tutoring Solutions Group in Englewood Cliffs, NJ for more info on the new Redesigned SAT. #SAT   #math  

SAT and ACT tutoring as well as Private Tutoring available in Bergen County NJ, Tenafly, NJ, Alpine, NJ, Teaneck, NJ, North Haledon, NJ, Bergenfield, NJ,Franklin Lakes, NJ and more.

 

The chart below shows data from 122 students in Bergen County. The bottom row includes those who chose not to answer the survey question.

Number of students #Hours of HW #Hours of TV
14 2 .5
20 0 2
14 1 1
15 3 2.5
21 3.5 1.5
18 2.5 1.8
4 1.5 3
14

 

Find the median values, mode values, and mean values among those who responded to both survey questions.

 

One student who initially chose to not respond now decides to respond. The median values for both variables stay the same. Find all possible values for the # hours of TV and # hours of HW that this student engaged in.

 

Find the median value of HW hours for those who watch less than 2 hours of TV.

 

In a separate study in New York, researchers find that the HW hours and TV hours are related in the following equation where H measures homework time in hours and T measures TV time in hours:

H(T)=-T2+4T+6. A mother in New York wants her child to complete 3 hours of HW per night. How many hours of TV watched would correspond with this, on the average?